3468145169721600

Names of 3468145169721600

• Cardinal: 3468145169721600 can be written as Three quadrillion, four hundred sixty-eight trillion, one hundred forty-five billion, one hundred sixty-nine million, seven hundred twenty-one thousand, six hundred.

Scientific notation

• Scientific notation: 3.4681451697216 × 10¹⁵

Factors of 3468145169721600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 584

Divisors of 3468145169721600

• Number of divisors d(n): 1215
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 256 263 270 288 300 311 320 324 360 384 400 405 432 450 480 526 540 576 600 622 640 648 675 720 768 789 800 810 864 900 933 960 1052 1080 1152 1200 1244 1280 1296 1315 1350 1440 1555 1578 1600 1620 1728 1800 1866 1920 2025 2104 2160 2304 2367 2400 2488 2592 2630 2700 2799 2880 3110 3156 3200 3240 3456 3600 3732 3840 3945 4050 4208 4320 4665 4734 4800 4976 5184 5260 5400 5598 5760 6220 6312 6400 6480 6575 6912 7101 7200 7464 7775 7890 8100 8397 8416 8640 9330 9468 9600 9952 10368 10520 10800 11196 11520 11835 12440 12624 12960 13150 13995 14202 14400 14928 15550 15780 16200 16794 16832 17280 18660 18936 19200 19725 19904 20736 21040 21303 21600 22392 23325 23670 24880 25191 25248 25920 26300 27990 28404 28800 29856 31100 31560 32400 33588 33664 34560 35505 37320 37872 39450 39808 41985 42080 42606 43200 44784 46650 47340 49760 50382 50496 51840 52600 55980 56808 57600 59175 59712 62200 63120 64800 67176 67328 69169 69975 71010 74640 75744 78900 79616 81793 83970 84160 85212 86400 89568 93300 94680 96721 99520 100764 100992 103680 105200 106515 111960 113616 118350 119424 124400 125955 126240 129600 134352 138338 139950 142020 149280 151488 157800 163586 167940 168320 170424 172800 177525 179136 186600 189360 193442 199040 201528 201984 207507 209925 210400 213030 223920 227232 236700 238848 245379 248800 251910 252480 259200 268704 276676 279900 284040 290163 298560 302976 315600 327172 335880 336640 340848 345845 355050 358272 373200 378720 386884 398080 403056 408965 415014 419850 420800 426060 447840 454464 473400 483605 490758 497600 503820 504960 518400 532575 537408 553352 559800 568080 580326 597120 605952 622521 629775 631200 654344 671760 681696 691690 710100 716544 736137 746400 757440 773768 806112 817930 830028 839700 841600 852120 870489 895680 908928 946800 967210 981516 995200 1007640 1009920 1037535 1065150 1074816 1106704 1119600 1136160 1160652 1194240 1226895 1245042 1259550 1262400 1308688 1343520 1363392 1383380 1420200 1450815 1472274 1492800 1514880 1547536 1612224 1635860 1660056 1679400 1683200 1704240 1729225 1740978 1791360 1817856 1867563 1893600 1934420 1963032 1990400 2015280 2044825 2075070 2130300 2149632 2208411 2213408 2239200 2272320 2321304 2418025 2453790 2490084 2519100 2524800 2611467 2617376 2687040 2726784 2766760 2840400 2901630 2944548 2985600 3029760 3095072 3112605 3224448 3271720 3320112 3358800 3408480 3458450 3481956 3582720 3680685 3735126 3787200 3868840 3926064 4030560 4089650 4150140 4260600 4352445 4416822 4426816 4478400 4544640 4642608 4836050 4907580 4980168 5038200 5049600 5187675 5222934 5234752 5374080 5453568 5533520 5602689 5680800 5803260 5889096 5971200 6134475 6190144 6225210 6448896 6543440 6625233 6640224 6717600 6816960 6916900 6963912 7254075 7361370 7470252 7574400 7737680 7834401 7852128 8061120 8179300 8300280 8521200 8704890 8833644 8853632 8956800 9089280 9285216 9337815 9672100 9815160 9960336 10076400 10375350 10445868 10469504 10748160 11042055 11067040 11205378 11361600 11606520 11778192 12268950 12380288 12450420 13057335 13086880 13250466 13280448 13435200 13633920 13833800 13927824 14508150 14722740 14940504 15148800 15475360 15563025 15668802 15704256 16122240 16358600 16600560 17042400 17409780 17667288 17707264 17913600 18403425 18570432 18675630 19344200 19630320 19920672 20152800 20750700 20891736 20939008 21511559 21762225 22084110 22134080 22410756 22723200 23213040 23556384 24537900 24760576 24900840 25437623 26114670 26173760 26500932 26560896 26870400 27267840 27667600 27855648 28013445 29016300 29445480 29881008 30950720 31126050 31337604 31408512 32244480 32717200 33126165 33201120 34084800 34819560 35334576 36806850 37140864 37351260 38688400 39172005 39260640 39841344 40305600 41501400 41783472 43023118 43524450 44168220 44268160 44821512 45446400 46426080 46689075 47112768 49075800 49801680 50875246 52229340 52347520 53001864 53121792 53740800 55210275 55335200 55711296 56026890 58032600 58890960 59762016 61901440 62252100 62675208 62817024 64534677 65286675 65434400 66252330 66402240 68169600 69639120 70669152 73613700 74281728 74702520 76312869 77376800 78344010 78521280 79682688 80611200 83002800 83566944 86046236 87048900 88336440 88536320 89643024 92852160 93378150 94225536 98151600 99603360 101750492 104458680 104695040 106003728 107557795 110420550 110670400 111422592 112053780 116065200 117781920 119524032 123802880 124504200 125350416 127188115 129069354 130573350 130868800 132504660 132804480 136339200 139278240 140067225 141338304 147227400 149405040 152625738 154753600 156688020 157042560 159365376 161222400 165630825 166005600 167133888 172092472 174097800 176672880 179286048 185704320 186756300 188451072 193604031 195860025 196303200 199206720 203500984 208917360 212007456 215115590 220841100 221340800 222845184 224107560 228938607 232130400 235563840 239048064 249008400 250700832 254376230 258138708 261146700 261737600 265009320 265608960 278556480 280134450 282676608 294454800 298810080 305251476 309507200 313376040 314085120 322673385 331261650 332011200 334267776 344184944 348195600 353345760 358572096 371408640 373512600 381564345 387208062 391720050 392606400 398413440 407001968 417834720 424014912 430231180 441682200 442681600 448215120 457877214 464260800 471127680 478096128 498016800 501401664 508752460 516277416 522293400 523475200 530018640 537788975 557112960 560268900 565353216 580812093 588909600 597620160 610502952 619014400 626752080 635940575 645346770 662523300 664022400 668535552 686815821 688369888 696391200 706691520 717144192 747025200 763128690 774416124 783440100 785212800 796826880 814003936 835669440 848029824 860462360 883364400 896430240 915754428 928521600 942255360 968020155 996033600 1002803328 1017504920 1032554832 1044586800 1060037280 1075577950 1114225920 1120537800 1144693035 1161624186 1177819200 1195240320 1221005904 1253504160 1271881150 1290693540 1325046600 1328044800 1373631642 1376739776 1392782400 1413383040 1434288384 1494050400 1526257380 1548832248 1566880200 1570425600 1613366925 1628007872 1671338880 1696059648 1720924720 1742436279 1766728800 1792860480 1831508856 1857043200 1907821725 1936040310 1992067200 2005606656 2035009840 2060447463 2065109664 2089173600 2120074560 2151155900 2241075600 2289386070 2323248372 2355638400 2390480640 2442011808 2507008320 2543762300 2581387080 2650093200 2747263284 2753479552 2785564800 2826766080 2904060465 2988100800 3052514760 3097664496 3133760400 3226733850 3256015744 3342677760 3434079105 3441849440 3484872558 3533457600 3585720960 3663017712 3815643450 3872080620 3984134400 4070019680 4120894926 4130219328 4178347200 4240149120 4302311800 4482151200 4578772140 4646496744 4711276800 4840100775 4884023616 5014016640 5087524600 5162774160 5300186400 5494526568 5506959104 5571129600 5723465175 5808120930 5976201600 6105029520 6195328992 6267520800 6453467700 6512031488 6690094849 6868158210 6883698880 6969745116 7066915200 7171441920 7326035424 7631286900 7744161240 8140039360 8241789852 8260438656 8356694400 8480298240 8604623600 8712181395 8964302400 9157544280 9292993488 9680201550 9768047232 10028033280 10175049200 10302237315 10325548320 10600372800 10989053136 11446930350 11616241860 11952403200 12210059040 12390657984 12535041600 12906935400 13380189698 13736316420 13767397760 13939490232 14133830400 14520302325 14652070848 15262573800 15488322480 16280078720 16483579704 16520877312 16713388800 17170395525 17209247200 17424362790 17928604800 18315088560 18585986976 19360403100 19536094464 20070284547 20350098400 20604474630 20651096640 21200745600 21978106272 22893860700 23232483720 24420118080 24781315968 25070083200 25813870800 26760379396 27472632840 27534795520 27878980464 29040604650 29304141696 30525147600 30976644960 32560157440 32967159408 33450474245 34340791050 34418494400 34848725580 35857209600 36630177120 37171973952 38720806200 40140569094 40700196800 41208949260 41302193280 42401491200 43560906975 43956212544 45787721400 46464967440 48840236160 49562631936 50140166400 51511186575 51627741600 53520758792 54945265680 55757960928 58081209300 58608283392 60210853641 61050295200 61953289920 65934318816 66900948490 68681582100 68836988800 69697451160 73260354240 74343947904 77441612400 80281138188 81400393600 82417898520 82604386560 87121813950 87912425088 91575442800 92929934880 97680472320 100351422735 103022373150 103255483200 107041517584 109890531360 111515921856 116162418600 120421707282 122100590400 123906579840 131868637632 133801896980 137363164200 137673977600 139394902320 146520708480 148687895808 154883224800 160562276376 162800787200 164835797040 167252371225 174243627900 175824850176 180632560923 183150885600 185859869760 200702845470 206044746300 206510966400 214083035168 219781062720 223031843712 232324837200 240843414564 244201180800 247813159680 263737275264 267603793960 274726328400 278789804640 293041416960 301054268205 309766449600 321124552752 329671594080 334504742450 348487255800 361265121846 366301771200 371719739520 401405690940 412089492600 413021932800 428166070336 439562125440 446063687424 464649674400 481686829128 488402361600 501757113675 527474550528 535207587920 541897682769 549452656800 557579609280 602108536410 619532899200 642249105504 659343188160 669009484900 696974511600 722530243692 732603542400 743439479040 802811381880 824178985200 856332140672 879124250880 903162804615 929299348800 963373658256 1003514227350 1070415175840 1083795365538 1098905313600 1115159218560 1204217072820 1239065798400 1284498211008 1318686376320 1338018969800 1393949023200 1445060487384 1465207084800 1505271341025 1605622763760 1648357970400 1712664281344 1806325609230 1858598697600 1926747316512 2007028454700 2140830351680 2167590731076 2197810627200 2230318437120 2408434145640 2568996422016 2637372752640 2676037939600 2709488413845 2787898046400 2890120974768 3010542682050 3211245527520 3296715940800 3612651218460 3717197395200 3853494633024 4014056909400 4281660703360 4335181462152 4395621254400 4515814023075 4816868291280 5137992844032 5352075879200 5418976827690 5575796092800 5780241949536 6021085364100 6422491055040 6593431881600 7225302436920 7706989266048 8028113818800 8563321406720 8670362924304 9031628046150 9633736582560 10704151758400 10837953655380 11151592185600 11560483899072 12042170728200 12844982110080 13186863763200 13547442069225 14450604873840 15413978532096 16056227637600 17340725848608 18063256092300 19267473165120 21408303516800 21675907310760 23120967798144 24084341456400 25689964220160 27094884138450 28901209747680 32112455275200 34681451697216 36126512184600 38534946330240 42816607033600 43351814621520 46241935596288 48168682912800 54189768276900 57802419495360 64224910550400 69362903394432 72253024369200 77069892660480 86703629243040 96337365825600 108379536553800 115604838990720 128449821100800 138725806788864 144506048738400 173407258486080 192674731651200 216759073107600 231209677981440 289012097476800 346814516972160 385349463302400 433518146215200 578024194953600 693629033944320 867036292430400 1156048389907200 1734072584860800 3468145169721600
• Sum of all divisors σ(n): 12913779105155929
• Sum of proper divisors (its aliquot sum) s(n): 9445633935434329
• 3468145169721600 is an abundant number, because the sum of its proper divisors (9445633935434329) is greater than itself. Its abundance is 5977488765712729

Bases of 3468145169721600

• Binary: 1100010100100100001001111000110111101110100100000000₂
• Hexadecimal: 0xC524278DEE900
• Base-36: Y5CRW97400

Squares and roots of 3468145169721600

• 3468145169721600 squared (3468145169721600²) is 12028030918263265669421506560000
• 3468145169721600 cubed (3468145169721600³) is 41714957330436805812186521507820367773696000000
• 3468145169721600 is a perfect square number. Its square root is 58890960
• The cube root of 3468145169721600 is 151367.4248884379

Scales and comparisons

• 3,468,145,169,721,600 seconds is equal to 110,276,288 years, 37 weeks, 3 days.
• To count from 1 to 3,468,145,169,721,600 would take you about three hundred thirty million, eight hundred twenty-eight thousand, eight hundred sixty-six years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 3468145169721600 cubic inches would be around 12614 feet tall.

Recreational maths with 3468145169721600

• 3468145169721600 backwards is 0061279615418643
• The number of decimal digits it has is: 16
• The sum of 3468145169721600's digits is 63
• More coming soon!